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Finding the Fourth Proportional to 251.46, 374.85 and 237.78

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Solution

The fourth proportional to 251.46, 374.85 and 237.78 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.46 : 374.85 = 237.78 : x
  2. Step 2: Convert to fraction form
    251.46/374.85 = 237.78/x
  3. Step 3: Cross multiply
    251.46x = 374.85 × 237.78
  4. Step 4: Simplify right side
    251.46x = 89,131.83
  5. Step 5: Solve for x
    x = 89,131.83/251.46
  6. Step 6: Final answer
    x = 354.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.